A circular gear turns 60° per hour. How many radians does it turn in a 24-hour day?
Question
A circular gear turns 60° per hour. How many radians does it turn in a 24-hour day?
Solution
To convert degrees to radians, we need to use the conversion factor of π/180.
Given that the circular gear turns 60° per hour, we can calculate the number of radians it turns in one hour by multiplying 60° by π/180.
60° * π/180 = π/3 radians per hour
To find out how many radians the gear turns in a 24-hour day, we can multiply the radians per hour by 24.
(π/3 radians per hour) * 24 hours = 8π radians per day
Therefore, the circular gear turns 8π radians in a 24-hour day.
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